Almost contact \(B\)-metric hypersurfaces of Kählerian manifolds with \(B\)-metric (Q2765983)

An almost contact manifold with \(B\)-metric is a \((2n+1)\)-dimensional manifold \(M\) endowed with an almost contact structure \((\varphi,\xi,\eta)\) and a pseudo-Riemannian metric \(g\) such that \(g(\varphi X,\varphi Y) = -g(X,Y) + \eta(X)\eta(Y)\) for arbitrary vector fields \(X,Y\) on \(M\). In this article, the author constructs two types of almost contact \(B\)-metric hypersurfaces of an almost complex manifold with \(B\)-metric. He characterizes some subclasses of these hypersurfaces of a Kählerian \(B\)-metric manifold with respect to the second fundamental tensor.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00014].